SOLUTION: a wall is supported by a brace 10 feet long. if one end of the brace is placed 6 feet from the base of the wall, how man feet up the wall does the brace reach?

Question 243185: a wall is supported by a brace 10 feet long. if one end of the brace is placed 6 feet from the base of the wall, how man feet up the wall does the brace reach?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
a wall is supported by a brace 10 feet long. if one end of the brace is placed 6 feet from the base of the wall, how man feet up the wall does the brace reach?
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Since the wall and the floor forms a right angle (90 degrees), we can apply the Pythagorean theorem (where the brace is the hypotenuse).
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Let x = distance (feet) the brace reaches up the wall
then
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8 feet

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